Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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the circle below has center e. suppose that m\\(\\overarc{fg} = 132^\\c…
(a) \( m\angle FEG = \boldsymbol{132^\circ} \) (b) \( m\angle GFH = \boldsymbol{66^\circ} \)
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4. in δdef, de = 7x + 1, ef = 11x - 18, and df = 5x + 13. if the perime…
B. \( \angle D \), \( \angle F \), \( \angle E \)
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the circle below has center t. suppose that m\\(\\overarc{uv} = 68^\\ci…
(a) \( m\angle UTV = \boldsymbol{68^\circ} \) (b) \( m\angle VUW = \boldsymbol{34^\circ} \)
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24 (a) figures j, k, l, m, n, and p are shown on the coordinate plane. …
D. figure \( M \) ### Part B
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consider the line $-6x - 3y = 8$. find the equation of the line that is…
Equation of perpendicular line: \(y=\frac{1}{2}x + 1\) Equation of parallel line: \(y=-2x + 11\)
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sequence of transformations takes δa to its image, δb? graph of two tri…
B. reflection over the \( y \)-axis and translation 2 units down
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topic 4: proof write the letter of the property, definition, or postula…
G. Symmetric Property (of = or ≅) ### Question 30
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22 triangle xyz is rotated 90° clockwise about the origin to form trian…
D. The area of triangle \( XYZ \) is equal to the area of triangle \( X'Y'Z' \).
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which transformations can be used in a composition of transformations t…
A. reflection in the line \( x = - 1 \) C. reflection in the line \( y=-1 \) E. \( (x,y)\to(-x,-y) \) F. reflection in the \( y \)-axis
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52. two sides of a triangle measure 7 feet and 19 feet. if x is the len…
B. \( 12 < x < 26 \)
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consider the line $2x + 9y = -1$. what is the slope of a line perpendic…
Slope of a perpendicular line: \(\frac{9}{2}\) Slope of a parallel line: \(-\frac{2}{9}\)
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the circle below has center h. suppose that m\\(\\overarc{fg}\\)=58°. f…
(a) \( \boldsymbol{58} \) (b) \( \boldsymbol{29} \)
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the circle below has center h. suppose that m∠feg = 38°. find the follo…
(a) $76$ (b) $76$
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identify the type of transformation shown below a dilation by a scale f…
Reflection about y - axis (la opción "Reflection about y - axis")
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the circle below has center d. suppose that m\\(\\overarc{bc}\\)=116°. …
(a) \(m\angle BAC = \boldsymbol{58}^\circ\) (b) \(m\angle BDC = \boldsymbol{116}^\circ\)
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what is the coordinate of d on \\overline{gh} such that the ratio of gd…
\( -3 \)
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convert -210° to radian measure in terms of π.
\( -\frac{7\pi}{6} \)
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triangle abc has coordinates a(6,3), b(8,7), and c(8,2), and after a ro…
B. rotation of \( 180^\circ \) clockwise about point A
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convert \\(\\frac{15\\pi}{4}\\) radians to degree measure.
$675$
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in the figure below, z is the center of the circle. suppose that qr = 8…
\( x = 2 \), \( QU = 4 \)
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graph the image of rectangle qrst after a rotation 90° counterclockwise…
The image of rectangle QRST after 90° counterclockwise rotation around the origin has vertices at \( Q'(8, -9) \), \( R'(8, -4) \), \( S'(0, -4) \), and \( T'(0, -9) \). (Graph by…
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51. based on the markings on the drawings, which triangles can not be p…
D. The triangles in figure D
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review: writing and solving linear equations multiple choice identify t…
b. \( 2m - 3=m + 5 \) ### Problem 1:
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in the figure below, s is the center of the circle. suppose that jk=7, …
\( x = 3 \), \( LP = \frac{7}{2} \) (o \( 3.5 \))
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1 geometry the formula for the volume of a cone is $v = \\frac{1}{3}\\p…
b. \(2m - 3=m + 5\) ### Question 3
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the two lines graphed below are not parallel. how many solutions are th…
C. One
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in the figure below, z is the center of the circle. suppose that st=8, …
\( x = 8 \) \( VZ = 10 \)
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find the lines slope and a point on the line. $y - 2 = -\\frac{2}{3}(x …
slope: \(-\frac{2}{3}\) point on the line: \((-4,2)\)
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graph the point (-8, -7) on the coordinate plane.
The point \((-8, -7)\) is graphed by moving 8 units to the left of the origin (since \(x=-8\)) and 7 units down from the origin (since \(y = - 7\)) and marking the intersection of…
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what is the value of x such that ℓ ∥ m? what theorem did you use to fin…
D) \(x = 15\); Alternate Interior Angles Converse
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43. use the diagram to the right to answer the questions below. a. if (…
\(84^\circ\) ### Part b
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49. which two triangles must be congruent? triangles a, b, c, d with an…
D. Triangle A and Triangle C
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what is m∠wxv? a)15° b)75° c)105° d)285°
C) \(105^\circ\)
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use the diagram to the right to answer the questions below: a. if ( man…
### Part a # Explanation: ## Step1: Identify Angle Relationship For \(a \parallel b\), \(\angle 1\) and \(\angle 5\) are corresponding angles. Corresponding angles are equal when …
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(a) find the following side lengths for the net. a = 3 cm b = 10 cm c =…
120
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area of polygons name date find the area of the sandcastle the area of …
(Note: Due to the unclear image, the exact answer depends on the dimensions. But the method is to calculate the area of each polygon (triangle, rectangle, trapezoid) using their f…
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graph the line with slope $-\\frac{1}{3}$ passing through the point $(-…
The graph is a straight line passing through \((-1, -2)\) with a slope of \(-\frac{1}{3}\) (constructed by plotting the point and using the slope to find another point to draw the…
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which line is the transversal that connects ∠2 and ∠8? can the relation…
C) line \( t \): alternate exterior angles
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(a) find the following side lengths for the net. a = cm b = cm c = cm d…
\( A = 3 \) cm, \( B = 10 \) cm, \( C = 5 \) cm, \( D = 4 \) cm
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find an equation for the line that passes through the points (3, -3) an…
The equation of the line is \( y = -\frac{1}{4}x-\frac{9}{4} \) (or \( x + 4y=-9 \))
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triangle jkl has coordinates j(-8,5), k(-4,4), and l(-3,1). what are th…
A) \(J'(8,5),K'(4,4),L'(3,1)\)
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find an equation for the line below.
\(y=\frac{1}{2}x+\frac{11}{2}\) (or equivalent forms like \(y = 0.5x + 5.5\))
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how to graph it with the tool 1. click the point plot (7, -4). 2. draw …
The graph is a horizontal line passing through all points where \( y = -4 \), such as \( (7, -4) \) and \( (0, -4) \), drawn straight across the coordinate plane at \( y = -4 \).
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q. what is the range of the following graph? (graph with points (-4,1),…
The range of the graph (set of y - coordinates of the points) is \(\{-5, - 1,0,1,5\}\) (or in interval notation, since the points are discrete, but if we consider the possible y -…
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a partial proof is given below. use the information given to complete q…
D. Alternate Interior Angles ### Question 46
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in the triangle below, suppose that m∠e=(x+9)°, m∠f=(6x+3)°, and m∠g=(5…
\( m\angle E = 23^\circ \) \( m\angle F = 87^\circ \) \( m\angle G = 70^\circ \)
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find the lines slope and a point on the line. y + 2 = \\frac{1}{4}(x - …
slope: \(\frac{1}{4}\) point on the line: \((3,-2)\)
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what are the coordinates of point y? write your answer as an integer or…
\((2, - 4.5)\)
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which point has coordinates (-3, -3.5)?
V
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in the triangle below, suppose that $m\\angle l=(2x - 5)\\degree$, $m\\…
\( m\angle L = 37^\circ \), \( m\angle M = 122^\circ \), \( m\angle N = 21^\circ \)
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use the figure below to answer the following questions. find the value …
# Explanation: ## Step1: Identify angle relationship The angle \((10x - 24)^\circ\) and the right angle ( \(90^\circ\) ) and the angle related to the triangle's angle sum? Wait, n…
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if ∠9 ≅ ∠15, which lines, if any, are parallel? state the postulate or …
B) $l \parallel m$; Alternate Exterior Angles Converse
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in the triangle below, with right angle ∠r, suppose that m∠q = (3x + 13…
\(m\angle Q = 58^\circ\), \(m\angle R = 90^\circ\), \(m\angle S = 32^\circ\)
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what are the coordinates of point r? write your answer as an integer or…
(0.5, - 4.5)
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which point has coordinates \\(\\left(-1, 4\\frac{1}{2}\ ight)\\)? imag…
C
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for the right triangles below, find the exact values of the side length…
\( d = \frac{5}{2} \) \( b = 4\sqrt{2} \)
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→lk bisects ∠jlm. if m∠jlk = (13x − 6)° and m∠klm = (11x + 2)°, what is…
C) \(46^\circ\)
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use the figure below to answer the following questions. find the value …
12
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which point has coordinates (1.5, -3.5)?
W
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the variables a, b, c, and d are graphed on the number line shown. use …
For \( a - b \): 1; For \( c - a \): -4; For \( d - a \): 1 (assuming the number line has each tick as 1 unit with \( c=-1 \), \( b = 2 \), \( a = 3 \), \( d = 4 \))
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42. if m || n, solve for x. (8x + 1)° (21x + 5)°
\( x = 6 \)
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the perimeter of the rectangle below is 202 units. find the value of x.…
\( x = 11 \)
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which point has coordinates (-2, -1)? a coordinate plane with points a,…
D
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which point has coordinates (-2, -1)?
# Ex[SSE Completed, Client Connection Error][LLM SSE On Failure]
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use the figure below to answer the following questions. find the value …
16
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44. what additional information is required to prove δabc ≅ δdcb by hyp…
D. $\overline{AB} \cong \overline{CD}$
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what are the coordinates of point d? write your answer as an integer or…
\((1.5, - 4.5)\)
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which point has coordinates (-4.5, 3)?
S
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for the right triangles below, find the exact values of the side length…
\( d
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find a point on the line and the lines slope. y - 3 = -\\frac{1}{5}(x -…
point on the line: $(4,3)$ slope: $-\frac{1}{5}$
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if $\\angle 4 \\cong \\angle 1$, then which statement(s) can be used to…
B. Vertical Angles Theorem, D. Transitive Property of Congruence, E. Substitution Property of Congruence
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13 this question has two parts. students in an algebra class were multi…
Anne's claim was correct. ### Part B
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which point has coordinates (1, 5)?
W
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use the coordinate grid to answer the following questions. round to the…
\(8.9\)
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what are the coordinates of point t? write your answer as an integer or…
\((-5, - 1.5)\)
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43. if l is the midpoint of \\(\\overline{kn}\\) and \\(\\overline{mp}\…
B. Side - Angle - Side
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the perimeter of the triangle below is 87 units. find the length of sid…
12
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select all the statements that are postulates. a) a plane contains at l…
A. A plane contains at least three noncollinear points B. If two points lie in a plane, then the entire line containing those points lies in that plane D. Through any two points, …
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use the figure below to answer the following questions. find the values…
\(x = 10,y = 8\) (the option is \(x = 10,y = 8\))
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which point has coordinates (-3.5, 1.5)?
K
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select all the statements that are postulates. a) a plane contains at l…
A. A plane contains at least three noncollinear points, B. If two points lie in a plane, then the entire line containing those points lies in that plane, D. Through any two points…
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use the figure below to answer the following questions. name three poin…
C. B, C, E
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triangles and angles 55. find the value of x. (19x - 23)° (4x - 1)° (2x…
\(x = 7\)
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the convex polygon below has 8 sides. find the value of x. 132° 113° 14…
$x = 139$
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lm has endpoints l(1, -2) and m(4, -8), and point n on lm partitions th…
D) \((3,-6)\)
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what are the coordinates of point d? write your answer as an integer or…
\((4.5, 4.5)\)
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topic 7: triangles and an 54. find the measure of each numbered angle. …
\( m\angle1 = \boldsymbol{47^\circ} \), \( m\angle2 = \boldsymbol{43^\circ} \), \( m\angle3 = \boldsymbol{109^\circ} \)
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which statement is true by the segment addition postulate? a) wy = yz b…
D. \( ZY + YX = ZX \)
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the convex polygon below has 5 sides. find the value of x. the convex p…
$x = 79$
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if possible, write congruence statements for the pairs of corresponding…
It is not possible. \( \angle 1 \cong \) (blank) \( \angle 2 \cong \) (blank) \( \angle 3 \cong \) (blank) \( \angle 4 \cong \) (blank) (But based on the options, the first part i…
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what are the coordinates of point u? write your answer as an integer or…
\((5, 0.5)\)
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b. what are these lines are what compared to each other? y = 5/7x + 2 y…
The two lines \(y=\frac{5}{7}x + 2\) and \(y=\frac{5}{7}x-30\) are parallel to each other. ### Part C
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find an equation for the line that passes through the points (-1, 4) an…
The equation of the line is \( y=\frac{1}{3}x+\frac{13}{3} \) (or \( x - 3y=-13 \))
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which point has coordinates (-4.5, -4)?
N
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consider the figure. which reason can be used to justify statement 2? g…
The reason to justify statement 2 (\( \overline{AE} \cong \overline{EB} \)) is the **Definition of a Midpoint** (a midpoint of a segment divides the segment into two congruent seg…
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the convex polygon below has 7 sides. find the value of x. 92° 152° 144…
\( x = 112 \)
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41. solve for x in the figure below. (10x - 19)° (3x + 2)° (5x - 3)° a.…
C. 11
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36 which graph represents y as a function of x ?
D (the graph labeled D, which is the horizontal line \( y = 3 \))
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if possible, write congruence statements for the pairs of corresponding…
It is not possible. \( \angle1 \cong \) (blank, but since it's not possible, no congruence) \( \angle2 \cong \) (blank) \( \angle3 \cong \) (blank) \( \angle4 \cong \) (blank) But…
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is the conclusion valid based on the given information? explain your re…
B) valid; Law of Syllogism